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The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

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ARTICLE DOWNLOAD

The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary

10$

Igor Kukavica, Vlad Vicol & Fei Wang 

Abstract

We address the inviscid limit for the Navier–Stokes equations in a half space, with initial datum that is analytic only close to the boundary of the domain, and that has Sobolev regularity in the complement. We prove that for such data the solution of the Navier–Stokes equations converges in the vanishing viscosity limit to the solution of the Euler equation, on a constant time interval.

Only units of this product remain
Year 2020
Language English
Format PDF
DOI 10.1007/s00205-020-01517-3